1006927552512 has 1344 divisors, whose sum is σ = 3724566266880. Its totient is φ = 270888468480.

The previous prime is 1006927552493. The next prime is 1006927552591. The reversal of 1006927552512 is 2152557296001.

1006927552512 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 92 + 7 + 552 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27214258158 + ... + 27214258194.

Almost surely, 2^{1006927552512} is an apocalyptic number.

1006927552512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006927552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862283133440).

1006927552512 is an abundant number, since it is smaller than the sum of its proper divisors (2717638714368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006927552512 is an frugal number, since it uses more digits than its factorization.

1006927552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 1006927552512 in words is "one trillion, six billion, nine hundred twenty-seven million, five hundred fifty-two thousand, five hundred twelve".